102222122000 has 80 divisors (see below), whose sum is σ = 261712771632. Its totient is φ = 38483609600.

The previous prime is 102222121891. The next prime is 102222122027. The reversal of 102222122000 is 221222201.

It can be written as a sum of positive squares in 8 ways, for example, as 20451288064 + 81770833936 = 143008^2 + 285956^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469267 + ... + 1537266.

Almost surely, 2^102222122000 is an apocalyptic number.

102222122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222122000 is an abundant number, since it is smaller than the sum of its proper divisors (159490649632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102222122000 is a wasteful number, since it uses less digits than its factorization.

102222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006573 (or 3006557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102222122000 its reverse (221222201), we get a palindrome (102443344201).

The spelling of 102222122000 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand".